WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 21, 2022
Bi-univalent Function Subfamilies Defined by q - Analogue of Bessel Functions Subordinate to (p, q) - Lucas Polynomials
Authors: ,
Abstract: In the theory of bi-univalent functions,variety of special polynomials and special functions have been
used. Using the q - analogue of Bessel functions, two families of regular and bi-univalent functions subordinate to $$(p, q) $$ - Lucas polynomials are introduced in this paper. For elements in these defined families, we derive estimates
for $$|a2|, |a3| $$ and for $$δ$$ a real number we consider Fekete-Szegö problem $$|a3 − δa^{2}_{2}| $$. We also provide relevent
connection to existing result and discuss few interesting observations of the results investigated.